Greatest Common Factor of 3409/967, 3528/9237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3409/967, 3528/9237

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3409/967,3528/9237

Given fractions are 3409/967,3528/9237

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3409,3528

Greatest Common Factor of Numerators i.e. GCF of 3409,3528 is 7 .

LCM of Denominators means LCM of 967,9237 as per the given fractions.

LCM of 967,9237 is 8932179 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3409,3528

GCF of Fractions 3409/967,3528/9237 is 7/8932179

7 3409, 3528
487, 504

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3409,3528 By Matching Biggest Common Factor Method

Greatest Common Factor of 3409,3528 By Matching Biggest Common Factor Method

Factors of 3409

List of positive integer factors of 3409 that divides 3409 without a remainder.

1,7,487,3409

Factors of 3528

List of positive integer factors of 3528 that divides 3528 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,49,56,63,72,84,98,126,147,168,196,252,294,392,441,504,588,882,1176,1764,3528

Greatest Common Factor

We found the factors 3409,3528 . The biggest common factor number is the GCF number.
So the greatest common factor 3409,3528 is 7.

Lets's calculate LCM of 967,9237

Given numbers has no common factors except 1. So, there LCM is their product i.e 8932179

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/8932179

Therefore, the GCF of Fractions 3409/967,3528/9237 is 7/8932179

Least Common Multiple of 967,9237 with GCF Formula

Least Common Multiple of 967,9237 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 967,9237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,9237) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(967,9237) x common factors =1 x 1 = 1

LCM(967,9237) = ( 967 × 9237 ) / 1

LCM(967,9237) = 8932179 / 1

LCM(967,9237) = 8932179


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3409/967, 3528/9237

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3409/967, 3528/9237?

Answer: GCF of Numerators as per given numbers 3409/967, 3528/9237 is

GCF of Numerators i.e. for 3409,3528 is 7

LCM of denominators i.e. for 967,9237 is 8932179.

Thus, GCF of Fractions is 7/8932179.Finally, GCF of Fractions for 3409/967, 3528/9237 is 7/8932179.